λ
Harmonic Matrix

8,879,382

2 × 34 × 59 × 929
Abundant Even Composite

8,879,382 has digital root 9. The neighboring primes are 8879369 and 8879393; its proper-divisor sum differs from the starting integer by 2,496,636.

Prime Factor Structure

Factorization String 2 × 3^4 × 59 × 929
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 20,255,400
Proper Divisor Sum 11,376,018
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8879369 ← → #8879393

Radix Representation

Decimal 8879382
Binary 100001110111110100010110 (24 bits)
Octal 0o41676426
Hexadecimal 0x877D16

Divisor Catalog (40)

1 2 3 6 9 18 27 54 59 81 118 162 177 354 531 929 1,062 1,593 1,858 2,787 3,186 4,779 5,574 8,361 9,558 16,722 25,083 50,166 54,811 75,249 109,622 150,498 164,433 328,866 493,299 986,598 1,479,897 2,959,794 4,439,691 8,879,382

Collatz Trajectory (181 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,879,382 4,439,691 13,319,074 6,659,537 19,978,612 9,989,306 4,994,653 14,983,960 7,491,980 3,745,990 1,872,995 5,618,986 2,809,493 8,428,480 4,214,240 2,107,120 1,053,560 526,780 263,390 131,695 395,086 197,543 592,630 296,315 888,946 444,473 1,333,420 666,710 333,355 1,000,066 500,033 1,500,100 750,050 375,025 1,125,076 562,538 281,269 843,808 421,904 210,952 105,476 52,738 26,369 79,108 39,554 19,777 59,332 29,666 14,833 44,500 22,250 11,125 33,376 16,688 8,344 4,172 2,086 1,043 3,130 1,565

More profiles

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